1206.5229 (Frank B. Estabrook)

Specialized Orthonormal Frames and Embedding    [PDF]

Frank B. Estabrook

We discuss specializations of the frames of flat orthonormal frame bundles over geometries of indefinite signature, and the resulting symmetries of families of imbedded Riemannian geometries; the embedding can be isometric, as in minimal surfaces or Regge-Teitelboim gravity, or torsion-free, as in Einstein vacuum gravity. Involutive Exterior Differential Systems (EDS) are given to express the well-posedness of the underlying partial differential embedding and specialization equations.

View original: http://arxiv.org/abs/1206.5229